How to export a scene from Blender, in which I use modifiers and constraints, to Maya and Nuke?
Yes, it is possible! :) You can use the "Bake action"!

If you have an ocean, and an object that "floats" on the surface of the ocean using the method, described in this tutorial (https://www.youtube.com/watch?v=11F1NRpqrzY) 



do the following:

1) Select a floating object

2) Press T and in the left pane, select the tab "Animation"

3) Press Bake Action, select the frame range and check "clear constraints"




4) Voila! You will see a lot of yellow strips in the timeline - the key frames of animation. 



Now, if you delete the ocean and sphere by which you drew in the dynamic Paint mode, floating object will continue to move as before.